Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418y |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
-2.1948591460705E+19 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 11- 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,442420,195063021] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:4473:1] |
Generators of the group modulo torsion |
j |
1661282862228479/3807345901568 |
j-invariant |
L |
4.7883070899327 |
L(r)(E,1)/r! |
Ω |
0.14935836816596 |
Real period |
R |
0.11615645607725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bp1 |
Quadratic twists by: -7 |